We're dividing 525263 by 3 
We're looking to find how many times 3 goes into 525263.

Moving on to step 1:
If we divide 5 by 3, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 3 away from 5, we end up with 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 3

Step 2:
The number 3 fits into 22 7 times, leaving a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 17.0
If we take 21 away from 22, we end up with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 3

Moving on to step 3:
15 divided by 3 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 175.0
The remainder is 0 after subtracting 15 from 15.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 3

On to step 4:
If we divide 2 by 3, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 1750.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 3

Step 5:
26 divided by 3 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 17508.0
The remainder is 2 after subtracting 24 from 26.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Advancing to step 6:
The number 3 fits into 23 7 times, leaving a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 175087.0
The remainder is 2 after subtracting 21 from 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 175087.6
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
If we divide 20 by 3, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 175087.66
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 175087.66, with a leftover of 0.002.